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A rectangular sheet of paper, when halved by folding it at the mid
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25 Oct 2018, 04:50

5

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A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

64%(02:10) correct 36%(02:13) wrong based on 47 sessions

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A rectangular sheet of paper, when halved by folding it at the mid point of its longer side, results ina rectangle, whose longer and shorter sides are in the same proportion as the longer and shortersides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of thesmaller rectangle?

A rectangular sheet of paper, when halved by folding it at the mid
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25 Oct 2018, 06:02

2

RhythmGMAT wrote:

A rectangular sheet of paper, when halved by folding it at the mid point of its longer side, results ina rectangle, whose longer and shorter sides are in the same proportion as the longer and shortersides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of thesmaller rectangle?

a. \(4 \sqrt{2}\)b. \(2 \sqrt{2}\)c. \(\sqrt{2}\)d. 1e. 3

\(\frac{l}{b} = \frac{b}{(l/2)}\) where \(b = 2\) given

i.e. \(b^2 = l^2 / 2\)

i.e. \(l = 2√2\)

Area of smaller rectangle \(= (l/2)*b = (2√2/2)*2 = 2√2\)

Answer: Option B
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Re: A rectangular sheet of paper, when halved by folding it at the mid
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25 Oct 2018, 07:05

2

RhythmGMAT wrote:

A rectangular sheet of paper, when halved by folding it at the mid point of its longer side, results ina rectangle, whose longer and shorter sides are in the same proportion as the longer and shortersides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of thesmaller rectangle?

a. \(4 \sqrt{2}\)b. \(2 \sqrt{2}\)c. \(\sqrt{2}\)d. 1e. 3

OA: B

Initial Rectangle Dimensionslonger side \(= x\)Shorter side\(= 2\)

Dimensions after folding Longer side \(= 2\)Shorter side \(= \frac{x}{2}\)

As per question\(\frac{x}{2}=\frac{2}{\frac{x}{2}}\)\(x^2=8 \quad;\quad x=2\sqrt{2}\)

Re: A rectangular sheet of paper, when halved by folding it at the mid
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25 Oct 2018, 14:13

2

RhythmGMAT wrote:

A rectangular sheet of paper, when halved by folding it at the mid point of its longer side, results ina rectangle, whose longer and shorter sides are in the same proportion as the longer and shortersides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of thesmaller rectangle?